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Mathematics
9th
grade
2.4 Practice - Solving Two-Step Inequalities (Level5)
14 questions
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- 1. Multiple Choice3 < -5n + 2nn < 1n > 1n < -1n > -1
- 2. Multiple Choice6x + 2 + 6x < 14x < 1x > 1x < -1x > -1
- 3. Multiple Choice-3 − 6(4x + 6) > -111x > 3x < 3x < -3x > -3
- 4. Multiple Choice4f+8≥24f≥9f≤12f≥4f>5
- 5. Multiple Choice3(s+2)-s=38s=3s=38s=16s=1
- 6. Multiple ChoiceI can solve Inequalities.
4(5x + 2) ≤ 28x ≤ 1x ≥ 1x ≤ 8x ≥ 8 - 7. Multiple Choice
Joe’s Catering Company charges a $45 set-up fee plus $12.50 per person. Jimmy’s catering company charges a $75 set up fee plus $7.50 per person. Which inequality could be used to determine x, the number of people for which Joe’s Catering Company would be less expensive than Jimmy’s catering company?
12.50 + 45x ≤ 7.50 + 75x
45 + 12.50x < 75 + 7.50x
12.50x + 7.50x < 45 +75
45 + 12.50x > 75 + 7.50x
- 8. Multiple Choice
Norah has never lost a tooth, but she will receive $0.75 from the tooth fairy each time she loses a tooth. Kate has $1.25 from the tooth fairy, and she gets $0.25 each time she loses a tooth. Which inequality could be used to find x, the number of teeth that each girl would have to lose for Norah to have at least as much money from the tooth fairy as Kate?
0.75x > 1.25 + 0.25x
0.75x < 1.25x + 0.25
0.75x ≥ 1.25 + 0.25x
0.75x ≤ 1.25 + 0.25x
- 9. Multiple Choice
Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following inequalities could be used to determine how long it would take for Mike to be driving no faster than Hank?
12 + 0.2x ≤ 25 - 0.7x
12 + 0.2x < 25 + 0.7x
12 + 0.2x > 25+ 0.7x
12 + 0.2x ≥ 25 - 0.7x
- 10. Multiple Choice
A tree in Micah’s yard has 120 leaves and loses an average of 4.5 leaves each day. A tree in Heather’s yard has 45 leaves and gains an average of 0.5 leaves each day. Write and solve an equation to find the number of days it will take for both trees to have an equal number of leaves.
x = 12
x = -18.75
x = 15
x = -15.75
- 11. Multiple ChoiceSolve.
-3(2x +10) < 30x > -6x > -10x < -10x > -5 - 12. Multiple ChoiceThe members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?300x + 10 ≥ 200010x + 300 ≤ 200010x + 300 > 2000300 + 10x ≥ 2000
- 13. Multiple ChoiceSolve:
8m - 9 > 71m > 10m > 1m < 1m > -48 - 14. Multiple ChoiceSolve:
-3(1 + b) ≤ 51b ≥ -5b ≤ -5b ≥ -29b ≥ -18 - Answer choicesTagsAnswer choicesTags